It is believed that 75% of American youth now have health insurance due to the health care law.

1.  It is believed that 75% of American youth now have health insurance due to the health care law. Suppose this is true and let X equal the number of American youth in a random sample of n = 15 with private health insurance.

(a)   [1 point] How is X distributed?

(b)   [1 point] Find the probability that X is at least 10?

(c)   [1 point] Find the probability that X is at most 10?

(d)   [1 point] Find the probability that X is equal to 10?